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Euclidean Geometry And Transformations

Author : Clayton W. Dodge
ISBN : 9780486138428
Genre : Mathematics
File Size : 67.99 MB
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This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Category: Mathematics

Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
ISBN : 9780486135861
Genre : Mathematics
File Size : 35.87 MB
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Category: Mathematics

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 44.94 MB
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Category: Mathematics

Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : 9780486154985
Genre : Mathematics
File Size : 66.14 MB
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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Category: Mathematics

Linear Algebra And Projective Geometry

Author : Reinhold Baer
ISBN : 9780486154664
Genre : Mathematics
File Size : 31.84 MB
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Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Category: Mathematics

Transformation Geometry

Author : George E. Martin
ISBN : 9781461256809
Genre : Mathematics
File Size : 29.95 MB
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Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Category: Mathematics

Excursions In Geometry

Author : Charles Stanley Ogilvy
ISBN : 9780486265308
Genre : Mathematics
File Size : 41.17 MB
Format : PDF
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Category: Mathematics

Conformal Representation

Author : Constantin Caratheodory
ISBN : 048640028X
Genre : Mathematics
File Size : 30.73 MB
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Comprehensive introduction discusses the Möbius transformation, non-Euclidean geometry, elementary transformations, Schwarz's Lemma, transformation of the frontier and closed surfaces, and the general theorem of uniformization. Detailed proofs.
Category: Mathematics

Problems And Solutions In Euclidean Geometry

Author : M. N. Aref
ISBN : 9780486477206
Genre : Mathematics
File Size : 89.81 MB
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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Category: Mathematics

A Modern View Of Geometry

Author : Leonard M. Blumenthal
ISBN : 9780486821139
Genre : Mathematics
File Size : 48.31 MB
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Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.
Category: Mathematics